1/x+1/x+5+1/3x=1/2.25

Solve for x.

2 answers

do you mean

1/x + 1/(x+5) + 1/(3x) = 100/225 ????

225/x +225/(x+5) + 75/(x) = 100

300/x + 225/(x+5) = 100

(x+5)(300) + 225 x = 100x(x+5)

300 x + 1500 + 225 x = 100 x^2 + 500 x

100 x^2 -25 x -1500 = 0

20 x^2 - 5 x - 300 = 0

4 x^2 - x - 60 = 0

(x-4)(x+15) =

x = 4 or x = -3.75
OMG thank you so much for the thoroughness